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Finding the Fourth Proportional to 172,031.84, 257,942.96 and 77,243.61

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Solution

The fourth proportional to 172,031.84, 257,942.96 and 77,243.61 is: 115,818.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,031.84 : 257,942.96 = 77,243.61 : x
  2. Step 2: Convert to fraction form
    172,031.84/257,942.96 = 77,243.61/x
  3. Step 3: Cross multiply
    172,031.84x = 257,942.96 × 77,243.61
  4. Step 4: Simplify right side
    172,031.84x = 19,924,445,404.49
  5. Step 5: Solve for x
    x = 19,924,445,404.49/172,031.84
  6. Step 6: Final answer
    x = 115,818.36

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.